In-Medium Similarity Renormalization Group at Finite Temperature

TL;DR

This paper extends the In-Medium Similarity Renormalization Group method to finite temperature, enabling accurate calculations of nuclear properties relevant for astrophysics and nuclear reactions, using schematic models to validate its effectiveness.

Contribution

The work introduces the FT-IMSRG, an extension of IMSRG to finite temperature, and demonstrates its accuracy with schematic models, paving the way for realistic nuclear applications.

Findings

FT-IMSRG accurately determines nuclear energetics at finite temperature.

The method performs well across different pairing regimes.

Differences between canonical and grand canonical ensembles are discussed.

Abstract

The study of nuclei at finite temperature is of immense interest for many areas of nuclear astrophysics and nuclear-reaction science. A variety of ab initio methods are now available for computing the properties of nuclei from interactions rooted in Quantum Chromodynamics, but applications have largely been limited to zero temperature. In the present work, we extend one such method, the In-Medium Similarity Renormalization Group (IMSRG), to finite temperature. Using an exactly-solvable schematic model that captures essential features of nuclear interactions, we show that the FT-IMSRG can accurately determine the energetics of nuclei at finite temperature, and we explore the accuracy of the FT-IMSRG in different parameter regimes, e.g., strong and weak pairing. In anticipation of FT-IMSRG applications for finite nuclei and infinite matter, we discuss differences arising from the choice of working with the canonical and the grand canonical ensembles. In future work, we will apply the FT-IMSRG with realistic nuclear interactions to compute nuclear structure and reaction properties at finite temperature, which are important ingredients for understanding nucleosynthesis in stellar environments, or modeling reactions of hot compound nuclei.